Finding the Fourth Proportional to 2,579.41, 3,871.86 and 1,540.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,579.41 : 3,871.86 = 1,540.63 : x
2. Step 2: Convert to fraction form
   2,579.41/3,871.86 = 1,540.63/x
3. Step 3: Cross multiply
   2,579.41x = 3,871.86 × 1,540.63
4. Step 4: Simplify right side
   2,579.41x = 5,965,103.67
5. Step 5: Solve for x
   x = 5,965,103.67/2,579.41
6. Step 6: Final answer
   x = 2,312.58